QuestionIdentify the irrational number from the options: A. $\sqrt{7}$ , B. -2.7, C. $\frac{2}{7}$ , D. $2 . \overline{7}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to identify the irrational number among the given options. . An irrational number is a number that cannot be expressed as a simple fraction and it does not terminate or repeat.

STEP 2

Let's start by examining each option.
A. $\sqrt{7}$ The square root of7 is not a perfect square and cannot be expressed as a simple fraction. It is a non-terminating, non-repeating decimal, so it is an irrational number.

STEP 3

B. -2.7-2.7 is a decimal number that terminates. Therefore, it is not an irrational number.

STEP 4

C. $\frac{2}{7}$ $\frac{2}{7}$ is a simple fraction, so it is not an irrational number.

STEP 5

. $2 . \overline{7}$ $2 . \overline{7}$ is a repeating decimal, so it is not an irrational number.

STEP 6

After examining all the options, we find that $\sqrt{}$ is the only irrational number.
The answer is A. $\sqrt{}$ .

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QuestionIdentify the irrational number from the options: A. $\sqrt{7}$ , B. -2.7, C. $\frac{2}{7}$ , D. $2 . \overline{7}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to identify the irrational number among the given options. . An irrational number is a number that cannot be expressed as a simple fraction and it does not terminate or repeat.

STEP 2

Let's start by examining each option.
A. $\sqrt{7}$ The square root of7 is not a perfect square and cannot be expressed as a simple fraction. It is a non-terminating, non-repeating decimal, so it is an irrational number.

STEP 3

B. -2.7-2.7 is a decimal number that terminates. Therefore, it is not an irrational number.

STEP 4

C. $\frac{2}{7}$ $\frac{2}{7}$ is a simple fraction, so it is not an irrational number.

STEP 5

. $2 . \overline{7}$ $2 . \overline{7}$ is a repeating decimal, so it is not an irrational number.

STEP 6

After examining all the options, we find that $\sqrt{}$ is the only irrational number.
The answer is A. $\sqrt{}$ .

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QuestionIdentify the irrational number from the options: A. 7\sqrt{7}7​, B. -2.7, C. 27\frac{2}{7}72​, D. 2.7‾2 . \overline{7}2.7.

Studdy Solution

STEP 1

Assumptions1. We are asked to identify the irrational number among the given options. . An irrational number is a number that cannot be expressed as a simple fraction and it does not terminate or repeat.

STEP 2

Let's start by examining each option.A. 7\sqrt{7}7​The square root of7 is not a perfect square and cannot be expressed as a simple fraction. It is a non-terminating, non-repeating decimal, so it is an irrational number.

STEP 3

B. -2.7-2.7 is a decimal number that terminates. Therefore, it is not an irrational number.

STEP 4

C. 27\frac{2}{7}72​27\frac{2}{7}72​ is a simple fraction, so it is not an irrational number.

STEP 5

. 2.7‾2 . \overline{7}2.72.7‾2 . \overline{7}2.7 is a repeating decimal, so it is not an irrational number.

STEP 6

After examining all the options, we find that \sqrt{}​ is the only irrational number.The answer is A. \sqrt{}​.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionIdentify the irrational number from the options: A. $\sqrt{7}$ , B. -2.7, C. $\frac{2}{7}$ , D. $2 . \overline{7}$ .

Let's start by examining each option.
A. $\sqrt{7}$ The square root of7 is not a perfect square and cannot be expressed as a simple fraction. It is a non-terminating, non-repeating decimal, so it is an irrational number.

C. $\frac{2}{7}$ $\frac{2}{7}$ is a simple fraction, so it is not an irrational number.

. $2 . \overline{7}$ $2 . \overline{7}$ is a repeating decimal, so it is not an irrational number.

After examining all the options, we find that $\sqrt{}$ is the only irrational number.
The answer is A. $\sqrt{}$ .